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Finding the Third Proportional to 3,218,048 and 4,771,384

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Solution

The third proportional to 3,218,048 and 4,771,384 is: 7,074,507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218,048 : 4,771,384 = 4,771,384 : x
  2. Step 2: Convert to fraction form
    3,218,048/4,771,384 = 4,771,384/x
  3. Step 3: Cross multiply
    3,218,048x = 4,771,384 × 4,771,384
  4. Step 4: Simplify right side
    3,218,048x = 22,766,105,275,456
  5. Step 5: Solve for x
    x = 22,766,105,275,456/3,218,048
  6. Step 6: Final answer
    x = 7,074,507.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.